1149681576960 has 1056 divisors, whose sum is σ = 4774958622720. Its totient is φ = 250075938816.

The previous prime is 1149681576899. The next prime is 1149681576991. The reversal of 1149681576960 is 696751869411.

1149681576960 is a `hidden beast` number, since 1 + 1 + 496 + 8 + 1 + 57 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2618864421 + ... + 2618864859.

It is an arithmetic number, because the mean of its divisors is an integer number (4521741120).

Almost surely, 2^{1149681576960} is an apocalyptic number.

1149681576960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149681576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387479311360).

1149681576960 is an abundant number, since it is smaller than the sum of its proper divisors (3625277045760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1149681576960 is a wasteful number, since it uses less digits than its factorization.

1149681576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 1149681576960 in words is "one trillion, one hundred forty-nine billion, six hundred eighty-one million, five hundred seventy-six thousand, nine hundred sixty".